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Finding the Third Proportional to 133,700.63 and 269,588.25

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Solution

The third proportional to 133,700.63 and 269,588.25 is: 543,586.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,700.63 : 269,588.25 = 269,588.25 : x
  2. Step 2: Convert to fraction form
    133,700.63/269,588.25 = 269,588.25/x
  3. Step 3: Cross multiply
    133,700.63x = 269,588.25 × 269,588.25
  4. Step 4: Simplify right side
    133,700.63x = 72,677,824,538.06
  5. Step 5: Solve for x
    x = 72,677,824,538.06/133,700.63
  6. Step 6: Final answer
    x = 543,586.27

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.